Question

14/41:7; 100:20/23;12/13:24/39;1:61/3

Answer 1

Ответ:

Пошаговое объяснение:

14/41:7=14/41*1/7=2/41

100:20/23=100*23/20=115

12/13:24/39=12/13*39/24=3/2=1 1/2

1:61/3=1*3/61=3/61

Answer 2

Ответ:

Пошаговое объяснение:

14/41:7=14/41*1/7=2/41

100:20/23=100*23/20=115

12/13:24/39=12/13*39/24=3/2=1 1/2

1:61/3=1*3/61=3/61

Answer 3

14/41:7 = 2/41. To divide a fraction by a whole number, you multiply the numerator of the fraction by the inverse of the whole number. In this case, 7 is the same as 7/1, so the inverse would be 1/7.

Multiply the numerator of the fraction (14) by the inverse of the whole number (1/7): (14 * 1) / (41 * 7) = 14/287.

Therefore, 14/41 divided by 7 is equal to 2/41 or approximately 0.048.

Now let's move on to the second expression:

100:20/23 = 100 * 23/20. To divide a whole number by a fraction, you multiply the whole number by the reciprocal (flipping the numerator and denominator) of the fraction. The reciprocal of 20/23 is 23/20.

Multiply the whole number (100) by the reciprocal of the fraction (23/20): (100 * 23) / (20 * 1) = 2300/20.

Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 20: (2300/20) ÷ (20/20) = 115/1.

Therefore, 100 divided by 20/23 is equal to 115.

Let's move on to the third expression:

12/13:24/39 = 12/13 * 39/24. To divide one fraction by another, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 24/39 is 39/24.

Multiply the first fraction (12/13) by the reciprocal of the second fraction (39/24): (12 * 39) / (13 * 24) = 468/312.

Simplify the fraction by dividing the numerator and denominator by their GCD, which is 156: (468/312) ÷ (156/156) = 3/2.

Therefore, 12/13 divided by 24/39 is equal to 3/2 or 1.5.

Finally, let's evaluate the last expression:

1:61/3.

To divide a whole number by a fraction, you multiply the whole number by the reciprocal of the fraction. The reciprocal of 61/3 is 3/61.

Multiply the whole number (1) by the reciprocal of the fraction (3/61): (1 * 3) / (61 * 1) = 3/61.

Therefore, 1 divided by 61/3 is equal to 3/61 or approximately 0.049.